Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses - INSPIRE

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Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses

Luis Aparicio
(
- Madrid, Autonoma U. and
- Madrid, IFT
)
,
Anamaria Font
(
- Caracas, U. Central
)
,
Luis E. Ibanez
(
- Madrid, Autonoma U. and
- Madrid, IFT
)
,
Fernando Marchesano
(
- Madrid, IFT
)

Apr, 2011

85 pages

Published in:

JHEP 08 (2011) 152

e-Print:

1104.2609 [hep-th]

DOI:

10.1007/JHEP08(2011)152

Report number:

IFT-UAM-CSIC-11-20

View in:

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Abstract: (arXiv)

We study the deformation induced by fluxes and instanton effects on Yukawa couplings involving 7-brane intersections in local F-theory constructions. In the absence of non-perturbative effects, holomorphic Yukawa couplings do not depend on open string fluxes. On the other hand instanton effects (or gaugino condensation on distant 7-branes) do induce corrections to the Yukawas. The leading order effect may also be captured by the presence of closed string (1,2) IASD fluxes, which give rise to a non-commutative structure. We check that even in the presence of these non-perturbative effects the holomorphic Yukawas remain independent of magnetic fluxes. Although fermion mass hierarchies may be obtained from these non-perturbative effects, they would give identical Yukawa couplings for D-quark and Lepton masses in SU(5) F-theory GUT's, in contradiction with experiment. We point out that this problem may be solved by appropriately normalizing the wavefunctions. We show in a simple toy model how the presence of hypercharge flux may then be responsible for the difference between D-quarks and Lepton masses in local SU(5) GUT's.

F-Theory
Quark Masses and SM Parameters
Nonperturbative Effects
GUT
effect: nonperturbative
instanton: effect
coupling: Yukawa
lepton: mass
grand unified theory: SU(5)
fermion: mass: hierarchy

References(63)

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